Dualities from dualities: the sequential deconfinement technique

A bstract It is an interesting question whether a given infra-red duality between quantum field theories can be explained in terms of other more elementary dualities. For example recently it has been shown that mirror dualities can be obtained by iterative applications of Seiberg-like dualities. In...

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Veröffentlicht in:The journal of high energy physics Jg. 2022; H. 5; S. 69 - 59
Hauptverfasser: Bottini, Lea E., Hwang, Chiung, Pasquetti, Sara, Sacchi, Matteo
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 11.05.2022
Springer Nature B.V
SpringerOpen
Schlagworte:
Avatars
Classical and Quantum Gravitation
Correlators
Duality in Gauge Field Theories
Elementary Particles
High energy physics
Integrals
Iterative methods
Mathematical analysis
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quantum theory
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Supersymmetric Gauge Theory
Supersymmetry and Duality
Symmetry
Tensors
Duality in Gauge Field Theories
Supersymmetry and Duality
Supersymmetric Gauge Theory
ISSN:1029-8479, 1029-8479
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Zusammenfassung:A bstract It is an interesting question whether a given infra-red duality between quantum field theories can be explained in terms of other more elementary dualities. For example recently it has been shown that mirror dualities can be obtained by iterative applications of Seiberg-like dualities. In this paper we continue this line of investigation focusing on theories with tensor matter. In such cases one can apply the idea of deconfinement, which consists of trading the tensor matter for extra gauge nodes by means of a suitable elementary duality. This gives an auxiliary dual frame which can then be manipulated with further dualizations, in an iterative procedure eventually yielding an interesting dual description of the original theory. The sequential deconfinement technique has avatars in different areas of mathematical physics, such as the study of hypergeometric and elliptic hypergeometric integral identities or of 2 d free field correlators. We discuss various examples in the context 4 d N = 1 supersymmetric theories, which are related to elliptic hypergeometric integrals. These include a new self-duality involving a quiver theory which exhibits a non-trivial global symmetry enhancement to E 6 .
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ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2022)069